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Finding the Fourth Proportional to 2,372.80, 3,559.22 and 1,072.74

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Solution

The fourth proportional to 2,372.80, 3,559.22 and 1,072.74 is: 1,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.80 : 3,559.22 = 1,072.74 : x
  2. Step 2: Convert to fraction form
    2,372.80/3,559.22 = 1,072.74/x
  3. Step 3: Cross multiply
    2,372.80x = 3,559.22 × 1,072.74
  4. Step 4: Simplify right side
    2,372.80x = 3,818,117.66
  5. Step 5: Solve for x
    x = 3,818,117.66/2,372.80
  6. Step 6: Final answer
    x = 1,609.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.